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Published byElizabeth Stokes Modified over 9 years ago
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6-6: Solving Exponential Equations
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Using logs to solve equations: Solve the following equation for t to the nearest hundredth:
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Using properties of logs: The population of the US reached 250 million in 1990 and was growing at a rate of 1% per year. When, at this rate, would the population reach 300 million?
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More applications: Carbon has a half-life of 5730 years. What is the approximate age of a skull found having 63% of its original concentration?
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The Change of Base Theorem: Given b x =a a) Definition of logs:b) Taking the log of both sides:
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Example: Evaluate: Try it with natural logs:
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